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Simplifying -5(3m + 6) = 3(4m + -2) Reorder the terms: -5(6 + 3m) = 3(4m + -2) (6 * -5 + 3m * -5) = 3(4m + -2) (-30 + -15m) = 3(4m + -2) Reorder the terms: -30 + -15m = 3(-2 + 4m) -30 + -15m = (-2 * 3 + 4m * 3) -30 + -15m = (-6 + 12m) Solving -30 + -15m = -6 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -30 + -15m + -12m = -6 + 12m + -12m Combine like terms: -15m + -12m = -27m -30 + -27m = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 -30 + -27m = -6 + 0 -30 + -27m = -6 Add '30' to each side of the equation. -30 + 30 + -27m = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -27m = -6 + 30 -27m = -6 + 30 Combine like terms: -6 + 30 = 24 -27m = 24 Divide each side by '-27'. m = -0.8888888889 Simplifying m = -0.8888888889
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